Fundamental Solutions of the Axial Symmetric Goursat Problem

DOI

10.2991/jnmp.1996.3.3-4.32How to use a DOI?

Abstract

Fundamental solutions (FS) with a given boundary condition on the characteristics of relativistic problems with axial symmetry are considered. This is so-called the Goursat problem (GP) or zero plane formalism in Dirac's terminology, or modification of the proper time method in the Fock-Nambu-Schwinger formalism (FNS). Closed FS for the Volkov problem from the point of view of GP can be found. This means that integration over proper time in a FNS integral transformation can be performed. Using the special chosen dynamic symmetry of the initial state, FS for a particle in constant magnetic or constant electric field may also be calculated.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - A.A. Borghardt
AU  - D.Ya. Karpenko
AU  - N.Yu. Nosenko
PY  - 1996
DA  - 1996/09/02
TI  - Fundamental Solutions of the Axial Symmetric Goursat Problem
JO  - Journal of Nonlinear Mathematical Physics
SP  - 458
EP  - 463
VL  - 3
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1996.3.3-4.32
DO  - 10.2991/jnmp.1996.3.3-4.32
ID  - Borghardt1996
ER  -